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  1. 2014-Wrona, Artur, Joanna Balbus,  Olga Hrydziuszko,  and Krystian Kubica - Two-compartment model as a teaching tool for cholesterol homeostasis.

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    06 Apr 2020 | Contributor(s):: Brian Winkel

    Wrona, Artur, Joanna Balbus,  Olga Hrydziuszko,  and Krystian Kubica. 2015. Two-compartment model as a teaching tool for cholesterol homeostasis. Adv Physiol Educ.  39: 372–377.See https://pubmed.ncbi.nlm.nih.gov/26628662/ .Abstract: Cholesterol is a vital...

  2. 2013-Dontwi, I. K. et al. - Modeling Memorization and Forgetfulness Using Differential Equations.

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    05 Apr 2020 | Contributor(s):: Brian Winkel

    Dontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11.See http://www.cscanada.net/index.php/pam/article/view/j.pam.1925252820130601.3421 .Abstract: Research Context: The aim of the study...

  3. 2012-Obeng-Denteh; W., Odum Kodua-Nana; S. Owusu Ansah; R. Kwame Ansah; and Alex Quashie Nyamadu - Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University of Science and Technology.

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    05 Apr 2020 | Contributor(s):: Brian Winkel

    Obeng-Denteh1, W., Odum Kodua-Nana1, S. Owusu Ansah1, R. Kwame Ansah1 and Alex Quashie Nyamadu. 2012. Modelling Students’ Affinity for Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University of Science and Technology. British Journal of Education,...

  4. 2011-Yafia, Radouane - A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System.

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    04 Apr 2020 | Contributor(s):: Brian Winkel

    Yafia, Radouane. 2011. A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System.  International Journal of Biomathematics. 4(2):  185-206.See https://www.worldscientific.com/doi/10.1142/S1793524511001404 .Abstract: In this paper, we...

  5. 2018-Hu, Yueqin and Yunhui Huang - Dynamic Regulation Responding to an External Stimulus: A Differential Equation Model.

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    04 Apr 2020 | Contributor(s):: Brian Winkel

    Hu, Yueqin and Yunhui Huang. 2018.  Dynamic Regulation Responding to an External Stimulus: A Differential Equation Model. Multivariate Behav Res. 53(6): 925-939.See https://pubmed.ncbi.nlm.nih.gov/30456992/ .Abstract: This study examines the dynamic regulation...

  6. 2012-Transtrum, Mark K and Peng Qiu - Optimal experiment selection for parameter estimation in biological differential equation models.

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    02 Apr 2020 | Contributor(s):: Brian Winkel

    Transtrum, Mark K and Peng Qiu. 2012. Optimal experiment selection for parameter estimation in biological differential equation models. Bioinformatics.  13(181): 1-12.See https://bmcbioinformatics.biomedcentral.com/articles/10.1186/1471-2105-13-181...

  7. 2019-Koss, Lorelei - SIR Models: Differential Equations that Support the Common Good. 

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    02 Apr 2020 | Contributor(s):: Brian Winkel

    Koss, Lorelei. 2019. SIR Models: Differential Equations that Support the Common Good.  CODEE Journal. 12 (2019): Article 6.See https://scholarship.claremont.edu/codee/vol12/iss1/6/ .12 pages.Abstract: This article surveys how SIR models have been extended beyond...

  8. 2018-Adeniji, Adejimi Adesola, Igor Fedotov, Michael Y. Shatalov - Inverse problem of the Holling-Tanner model and its solution.

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    02 Apr 2020 | Contributor(s):: Brian Winkel

    2018-AdenjiEtAl-InverseProblemHolling-TannerModelAdeniji, Adejimi Adesola, Igor Fedotov, Michael Y. Shatalov. 2018.  Inverse problem of the Holling-Tanner model and its solution. Biomath. 7: 1812057. 10...

  9. 2016-Barbarossa, Maria Vittoria and Christina Kuttler - Mathematical Modeling of Bacteria Communication in Continuous Cultures.

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    01 Apr 2020 | Contributor(s):: Brian Winkel

    Barbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 1-17.See https://www.researchgate.net/publication/303246621_Mathematical_Modeling_of_Bacteria_Communication_in_Continuous_Cultures...

  10. 2018-Joseph ,G Arul J. and S Balamuralitharan - A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM

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    01 Apr 2020 | Contributor(s):: Brian Winkel

    Joseph ,G Arul J. and S Balamuralitharan. 2018. A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM.  IOP Conf. Series: Journal of Physics: Conf. Series. 1000:...

  11. 2007-Ramsay, J. O., G. Hooker, D. Campbell and J. Cao - Parameter estimation for differential equations: a generalized smoothing approach.

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    01 Apr 2020 | Contributor(s):: Brian Winkel

    Ramsay, J. O., G. Hooker, D. Campbell and J. Cao. 2007. Parameter estimation for differential equations: a generalized smoothing approach. J. R. Statist. Soc. B.  69(5): 741–796.See https://ideas.repec.org/a/bla/jorssb/v69y2007i5p741-796.html . Summary: We...

  12. 2017-Gupta, Richa  and Deepak Kumar - Numerical Model for Glucose Metabolism for Various Types of Food and Effect of Physical Activities on Type 1 Diabetic Patient

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    27 Mar 2020 | Contributor(s):: Brian Winkel

    Gupta, Richa  and Deepak Kumar. 2017.  Numerical Model for Glucose Metabolism for Various Types of Food and Effect of Physical Activities on Type 1 Diabetic Patient. Applied Mathematics. 7(2): 19-22.See http://article.sapub.org/10.5923.j.am.20170702.01.html...

  13. 2013-Sutton-SecondOrderLinearODE's-PartII

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    27 Mar 2020 | Contributor(s):: Brian Winkel

    2013-Sutton-SecondOrderLinearODE's-PartIIPresentation by Craig J. Sutton, Department of Mathematics, Dartmouth CollegeMath 23 Differential Equations. 2013. 45 slidesCovers basics or undetermined coefficiens and variation of parameters with applications to mechanicl vibrations

  14. 2018-Baxter-Modeling Public Opinion. Thesis.

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    26 Mar 2020 | Contributor(s):: Brian Winkel

    Baxter, Arden. 2018.  Modeling Public Opinion. Rollins College. Thesis.See https://scholarship.rollins.edu/honors/67/ .1 IntroductionPopulation models are used to study the dynamics of a population. In particular, dynamic population models are applied to populations that...

  15. 2015-Boggess, Erin, Jordan Collignon, and Alanna Riederer - Mathematical Modeling in Ecology: Simulating the Reintroduction of the Extinct Passenger Pigeon (Ectopistes migratorius).

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    26 Mar 2020 | Contributor(s):: Brian Winkel

    Boggess, Erin, Jordan Collignon, and Alanna Riederer. 2015.  Mathematical Modeling in Ecology: Simulating the Reintroduction of the Extinct Passenger Pigeon (Ectopistes migratorius).Valparaiso...

  16. 2019-Ekici, Celil  and Chris Plyley - Inquiry-Based Modeling of Population Dynamics With Logistic Differential and Difference Equations

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    23 Mar 2020 | | Contributor(s):: Brian Winkel

    Ekici, Celil  and Chris Plyley. 2019. Inquiry-Based Modeling of Population Dynamics With Logistic Differential and Difference Equations. PRIMUS. 29(6): 553-570.  Freely available at the Mathematical Association of America Membership...

  17. 2013-Deboeck, P. R. and C. S. Bergeman - The reservoir model: A differential equation model of psychological regulation.

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    22 Mar 2020 | | Contributor(s):: Brian Winkel

    Deboeck, P. R. and C. S. Bergeman 2013. The reservoir model: A differential equation model of psychological regulation. Psychological Methods, 18(2), 237-256.See https://psycnet.apa.org/record/2013-10212-001 .Abstract: Differential equation models can be used to describe the...

  18. 2018-Sontag, Eduardo D - Lecture Notes on Mathematical Systems Biology

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    22 Mar 2020 | | Contributor(s):: Brian Winkel

    Sontag, Eduardo D. 2018. Lecture Notes on Mathematical Systems Biology.  305 pp. See http://www.sontaglab.org/publications.html. Accessed 20 March 2020.The first version of these notes dates back to 2005. They were originally heavily inspired by Leah Keshet’s...

  19. 2011-CasaXPS-Mechanics Applications DEs

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    20 Mar 2020 | | Contributor(s):: Brian Winkel

    2011-CasaXPS-Mechanics Applications DEsCasaXPS. 2011 Variable Forces and Differential Equations. www.casaxps.com. See https://www.simiode.org/resources/7150/download/2011-CasaXPS-Mechanics_ApplicationsDEs.pdf .    Table of ContentsVariable Forces...

  20. 2017-Goulet, D. - Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments.

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    20 Mar 2020 | | Contributor(s):: Brian Winkel

    Goulet, D. 2017. Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments. SIAM REVIEW. 58(2): 331–353.See https://locus.siam.org/doi/abs/10.1137/151004707 .Abstract. In many chemical and biological applications, systems of differential equations containing...